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Finding the Fourth Proportional to 74,762.72, 103,171.92 and 41,228

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Solution

The fourth proportional to 74,762.72, 103,171.92 and 41,228 is: 56,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,762.72 : 103,171.92 = 41,228 : x
  2. Step 2: Convert to fraction form
    74,762.72/103,171.92 = 41,228/x
  3. Step 3: Cross multiply
    74,762.72x = 103,171.92 × 41,228
  4. Step 4: Simplify right side
    74,762.72x = 4,253,571,917.76
  5. Step 5: Solve for x
    x = 4,253,571,917.76/74,762.72
  6. Step 6: Final answer
    x = 56,894.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.